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arXiv · 2512.24283

On the Picard-Lindel\"of Argument and the Banach-Caccioppoli Contraction Mapping Principle

Alexander I. Bufetov·Ilya I. Zavolokin
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Abstract

The aim of this note is to present the simple observation that a slight refinement of the Contraction Mapping Principle allows one to recover the precise convergence rate in the Picard-Lindel\"of Theorem.

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Alexander I. Bufetov, Ilya I. Zavolokin. 2025-12-30. On the Picard-Lindel\"of Argument and the Banach-Caccioppoli Contraction Mapping Principle. https://arxiv.org/abs/2512.24283

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